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How many units on a 1 mL luer-lock syringe is a 40 mg dose at 8 mg/mL?

Asked 15 Apr 2025Modified 12 months agoViewed 11k times
15

Details up front: a 1 mL luer-lock syringe · 40 mg · 8 mg/mL.

I can do the algebra. I am not confident about the conversion factors.

If there is a standard way to lay this out, I would rather learn that than invent one.

Can someone show the working rather than just the answer?

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DW
askedDr_Elias_Weiss46k3815 Apr 2025
4Worth flagging that this changed in 2025, so older answers on the site are out of date. – p_mkhize 9 months ago
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5 Answers

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40

Specifically, write the units at every step, because units errors are the failure mode that catches everyone eventually.

Worked example, because the general form is easier to trust once you have seen it once. Take a 10 mg vial and add 2 mL of diluent: the concentration is 10 ÷ 2 = 5 mg/mL. A 0.5 mg dose is 0.5 ÷ 5 = 0.1 mL. On a U-100 syringe, where 1 unit = 0.01 mL, that is 0.1 ÷ 0.01 = 10 units. Change the diluent to 1 mL and the same dose becomes 5 units — same dose, half the resolution.

The concentration you actually work with is label claim times content fraction divided by actual diluent volume, which is usually not the same as the nominal concentration because content is usually not 100 per cent and you rarely measure the diluent volume to 0.1 mL precision.

Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory.

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SW
answeredswab_and_wait15k1818 Jun 2025
4The timing signature is the useful part. Everything else is confounded. – Dr_Bram_Verhoeven 7 months ago
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27

The arithmetic only stops being confusing once you work it through once and see that it is straightforward.

Number of stopper piercings matters less than the gauge doing the piercing. A 30G or 31G needle through a butyl stopper leaves a track that reseals; a 21G or 18G drawing needle punches a core and can drop it into the solution.

On filtration: a 0.22 µm syringe filter will remove particulates and organisms, and it will also adsorb a fraction of your peptide onto the membrane — with a low-binding PVDF or PES membrane the loss is typically a few per cent.

I would flag the obvious failure mode: people get the concentration right, get the volume right, and then read the syringe against the wrong scale.

If in doubt, use more diluent and accept the shorter usable window.

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DV
answeredDr_Bram_Verhoeven85k2487 Jun 2025
Confirming from the other direction: I did the wrong thing and got exactly the predicted outcome. – hana_petrikova 3 months ago
2Is there a reason to prefer the second method over the first, other than cost? – rhian_prydderch 5 months ago
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21

The distinction that resolves most of these questions is understanding what concentration actually means and why it is not the same as label claim.

Do not use the same needle to pierce the stopper and to administer. The tip is blunted by the stopper, and the hub now contains a dose you are about to lose to dead space anyway.

More usefully, room temperature before drawing is worth the ten minutes. Cold solution is more viscous, draws slower, and condensation on a cold barrel makes it harder to read the meniscus.

The insulin-unit standard U-100 means 100 units per millilitre, so one unit is 0.01 mL — this is the conversion that trips up more people here than any other single piece of arithmetic.

The limitation is that technique reduces risk, it does not remove it, and nothing you can do outside a controlled environment makes a non-sterile preparation sterile.

Do the arithmetic twice, ideally with someone else doing it independently.

edited 14 Jul 2025 by Dr_Elias_Weiss — reworded for clarity after a comment

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DW
answeredDr_Elias_Weiss46k3810 Jul 2025
18

More usefully, two people working through the same arithmetic independently should get the same answer, and if they do not, someone has made a unit error.

Rotation of injection site is a tolerability measure, not a pharmacokinetic one, but if you are going to do it you might as well do it right.

Write the arithmetic on the vial label. It costs nothing and removes the step where you reconstruct it from memory.

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RP
answeredravenna_pace13k2729 Jun 2025
3Confirming from the other direction: I did the wrong thing and got exactly the predicted outcome. – m_haraldsen 6 months ago
4Is there a reason to prefer the second method over the first, other than cost? – sian_llewellyn 8 months ago
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12

Concretely, work in the order concentration, then volume, then units, and the arithmetic stops being confusing. Concentration is milligrams per millilitre and comes from the vial contents and the diluent volume. Volume per dose is dose divided by concentration. Units on a U-100 syringe are volume in millilitres multiplied by one hundred.

Dead space quantified: a fixed-needle insulin syringe holds roughly 3 to 5 µL in the hub and needle after the plunger bottoms out. A luer-lock syringe with a detachable needle holds 35 to 100 µL depending on the hub design. At 5 mg/mL that is 15 to 25 µg lost per draw on the insulin syringe and 175 to 500 µg on the luer-lock — which over ten draws is the difference between losing a rounding error and losing half a milligram.

The Arrhenius relationship for drawing kinetics means that cold solution takes noticeably longer to draw than room-temperature solution.

If in doubt, use more diluent and accept the shorter usable window.

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DK
answeredDr_Tomas_Kral37k382 Aug 2025
8Good answer, but the confidence interval in the cited trial is wider than implied. – Dr_Aoife_Brennan 5 months ago
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